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Properties of Equality for Real Numbers

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For all numbers a and b, if a = b, then a may be replaced by b in any ... Perpendicular lines intersect to form four right angles. Verifying Angle Relationships ... – PowerPoint PPT presentation

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Title: Properties of Equality for Real Numbers


1
Properties of Equality for Real Numbers
2
Properties of Equality for Real Numbers
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(No Transcript)
4
Verifying Segment Relationships
  • Congruence of segments is reflexive, symmetric,
    and transitive.

5
Verifying Angle Relationships
  • Supplement Theorem If two angles form a linear
    pair, then they are supplementary angles.
  • The sum of the measures of supplementary angles
    is 180.
  • The sum of a linear pair is 180.

6
Verifying Angle Relationships
  • Congruence of angles is reflexive, symmetric, and
    transitive.

7
Verifying Angle Relationships
  • Angles supplementary to the same angle or to
    congruent angles are congruent.

8
Verifying Angle Relationships
  • Angles complementary to the same angle or to
    congruent angles are congruent.
  • The sum of the measures of complementary angles
    is 90.

9
Verifying Angle Relationships
  • All right angles are congruent.
  • The measure of a right angle is 90.

10
Verifying Angle Relationships
  • Vertical angles are congruent.

11
Verifying Angle Relationships
  • Perpendicular lines intersect to form four right
    angles.

90
90
90
90
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